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Simplifying -8(11k + -3) = -8(5 + -9) + -40k Reorder the terms: -8(-3 + 11k) = -8(5 + -9) + -40k (-3 * -8 + 11k * -8) = -8(5 + -9) + -40k (24 + -88k) = -8(5 + -9) + -40k Combine like terms: 5 + -9 = -4 24 + -88k = -8(-4) + -40k Multiply -8 * -4 24 + -88k = 32 + -40k Solving 24 + -88k = 32 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. 24 + -88k + 40k = 32 + -40k + 40k Combine like terms: -88k + 40k = -48k 24 + -48k = 32 + -40k + 40k Combine like terms: -40k + 40k = 0 24 + -48k = 32 + 0 24 + -48k = 32 Add '-24' to each side of the equation. 24 + -24 + -48k = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -48k = 32 + -24 -48k = 32 + -24 Combine like terms: 32 + -24 = 8 -48k = 8 Divide each side by '-48'. k = -0.1666666667 Simplifying k = -0.1666666667
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